6533b7d0fe1ef96bd125b969

RESEARCH PRODUCT

331 models and grand unification: From minimal SU(5) to minimal SU(6)

Frank F. DeppischJosé W. F. ValleSudhanwa PatraChandan HatiChandan HatiUtpal Sarkar

subject

PhysicsNuclear and High Energy PhysicsParticle physics010308 nuclear & particles physicsPhysics beyond the Standard ModelHigh Energy Physics::PhenomenologyFOS: Physical sciencesCoupling (probability)01 natural scienceslcsh:QC1-999F-theoryHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencesSU(6)Grand Unified TheoryNeutrino331 model010306 general physicslcsh:PhysicsMathematical physicsLepton

description

We consider the possibility of grand unification of the $\mathrm{ SU(3)_c \otimes SU(3)_L \otimes U(1)_X}$ model in an SU(6) gauge unification group. Two possibilities arise. Unlike other conventional grand unified theories, in SU(6) one can embed the $\mathrm{ SU(3)_c \otimes SU(3)_L \otimes U(1)_X}$ model as a subgroup such that different multiplets appear with different multiplicities. Such a scenario may emerge from the flux breaking of the unified group in an E(6) F-theory GUT. This provides new ways of achieving gauge coupling unification in $\mathrm{ SU(3)_c \otimes SU(3)_L \otimes U(1)_X}$ models while providing the radiative origin of neutrino masses. Alternatively, a sequential variant of the $\mathrm{ SU(3)_c \otimes SU(3)_L \otimes U(1)_X}$ model can fit within a minimal SU(6) grand unification, which in turn can be a natural E(6) subgroup. This minimal SU(6) embedding does not require any bulk exotics to account for the chiral families while allowing for a TeV scale $\mathrm{ SU(3)_c \otimes SU(3)_L \otimes U(1)_X}$ model with seesaw-type neutrino masses.

https://doi.org/10.1016/j.physletb.2016.10.002